Three figures exist such that ABCD ≅ GHIJ and BCDA ≅ RSTU.If GH = 6 cm, HI = 8 cm, IJ = 10 cm, and GJ = 9 cm, what is TS?

In ABCD ≅ GHIJ, the matching vertices are A↔G, B↔H, C↔I, and D↔J. So side CD has the same length as IJ, which is 10 cm. In BCDA ≅ RSTU, C↔S and D↔T, so side CD corresponds to ST (the same segment as TS). Therefore TS = 10 cm, choice D.

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